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What is the Least Common Multiple of 41324 and 41333?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 41324 and 41333 is 1708044892.

LCM(41324,41333) = 1708044892

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Least Common Multiple of 41324 and 41333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41324 and 41333, than apply into the LCM equation.

GCF(41324,41333) = 1
LCM(41324,41333) = ( 41324 × 41333) / 1
LCM(41324,41333) = 1708044892 / 1
LCM(41324,41333) = 1708044892

Least Common Multiple (LCM) of 41324 and 41333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41324 and 41333. First we will calculate the prime factors of 41324 and 41333.

Prime Factorization of 41324

Prime factors of 41324 are 2, 10331. Prime factorization of 41324 in exponential form is:

41324 = 22 × 103311

Prime Factorization of 41333

Prime factors of 41333 are 41333. Prime factorization of 41333 in exponential form is:

41333 = 413331

Now multiplying the highest exponent prime factors to calculate the LCM of 41324 and 41333.

LCM(41324,41333) = 22 × 103311 × 413331
LCM(41324,41333) = 1708044892